Stress generation due to Moving Load on gravitational magneto-elastic orthotropic half-space with parabolic irregularity

Abstract

This paper aims to calculate the compressive and tensile stresses in an irregular gravitational, magneto-elastic orthotropic half-space under a moving load at a constant speed. Expressions of normal and shear stresses have been obtained analytically in closed form. The prominent effects of irregularity depth, irregularity factor, gravity parameter and magneto-elastic coupling parameter on normal stress as well as on shear stress are computed numerically and analyzed by using graphs. Also surface plots have been made to analyze the effect of irregularity on normal and shear stress. It is observed that both normal and shear stresses are affected not only by the depth of irregularity but also affected by magneto-elastic parameter, gravity parameter and different types of irregularity like rectangular and parabolic irregularity in the medium. Some particular cases also have been obtained which is deduced from the present study and matched with the existing result. This current study may be useful in geo-mechanics and geo-engineering where stresses get developed in the irregular body frames (viz. bridges, roadways, airport runways, railway, underground railways, etc.) due to moving load which is the cause of fracture.